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Finding the Fourth Proportional to 213,094.68, 294,059.21 and 132,519.93

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Solution

The fourth proportional to 213,094.68, 294,059.21 and 132,519.93 is: 182,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,094.68 : 294,059.21 = 132,519.93 : x
  2. Step 2: Convert to fraction form
    213,094.68/294,059.21 = 132,519.93/x
  3. Step 3: Cross multiply
    213,094.68x = 294,059.21 × 132,519.93
  4. Step 4: Simplify right side
    213,094.68x = 38,968,705,262.46
  5. Step 5: Solve for x
    x = 38,968,705,262.46/213,094.68
  6. Step 6: Final answer
    x = 182,870.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.